On an overall basis, MNNIT Allahabad is generally considered one step ahead of COEP, Pune.

The reason behind it is that MNNIT is a well-reputed, prestigious institute that recently got placed at rank 3rd in the list of top NITs in India. On the flip side, COEP Pune is a common government college of India.

MNNIT is better in terms of placements, infrastructure, research and development cell, alumni network, sports activities, funds disbursement, faculty, and others, as opposed to COEP Pune. The table below gives a brief comparison of the two institutes.

If you have to choose between both of them, going for MNNIT Allahabad will be a better choice because there can hardly be any comparisons between an NIT and a government-run college of India.